Uhh hundred? It's not possible...
Let x be the number of students that like both algebra and geometry. Then:
1. 45-x is the number of students that like only algebra;
2. 53-x is the number of students that like only geometry.
You know that 6 students do not like any subject at all and there are 75 students in total. If you add the number of students that like both subjects, the number of students that like only one subject and the number of students that do not like any subject, you get 75. Therefore,
x+45-x+53-x+6=75.
Solve this equation:
104-x=75,
x=104-75,
x=29.
You get that:
- 29 students like both subjects;
- 45-29=16 students like only algebra;
- 53-29=24 students like only geometry;
- 24+6=30 students do not like algebra;
- 16+6=22 students do not like geometry.
The correct choice is D.
Hello from MrBillDoesMath!
Answer:s:
For #18, see attachment, "Scatterplot_18", where the data is plotted. It looks like choice J -- no association-- is the correct answer.
For #14 it looks like you had some confusion but are on the right track. The formula for compound interest is Amount = P(1+r)^n, where P if the Principal (initial investment), r is the yearly rate, and "n" is the number of years invested. In your case,
A = 1000 ( 1 + .02)^3 => as 2% = 2/100 = .02; n = 3 as money
invested for three years
A = 1000 (1.061208) =
$1061.21
This is the same answer you got but is NOT one of the choices. Hmmm.....
Thank you,
MrB
Answer:
x=3/4y-6
Step-by-step explanation:
Solve for x
-4x+3y=24
Add -3y to both sides.
-4x+3y+-3y=24+-3y
-4x=-3y=+24
Then Divide both sides by -4
-4x/-4= -3y+24/-4
x=3/4y-6
<h3>
Answer:</h3>
D. 1/24
<h3>
Step-by-step explanation:</h3>
Assuming the die is fair and the events are independent, the probability of the series of events is the product of the probabilities of the individual events.
p(even) = 3/6 = 1/2
p(odd) = 3/6 = 1/2
p(5) = 1/6
Then the joint probability is ...
.. (1/2)·(1/2)·(1/6) = 1/24
